130553120 has 48 divisors (see below), whose sum is σ = 309899520. Its totient is φ = 51972864.

The previous prime is 130553077. The next prime is 130553141. The reversal of 130553120 is 21355031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130553092 and 130553101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33851 + ... + 37509.

It is an arithmetic number, because the mean of its divisors is an integer number (6456240).

Almost surely, 2^130553120 is an apocalyptic number.

130553120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154949760).

130553120 is an abundant number, since it is smaller than the sum of its proper divisors (179346400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130553120 is a wasteful number, since it uses less digits than its factorization.

130553120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 130553120 is about 11425.9844214842. The cubic root of 130553120 is about 507.2971452610.

The spelling of 130553120 in words is "one hundred thirty million, five hundred fifty-three thousand, one hundred twenty".